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Second-order BDF time approximation for Riesz space-fractional diffusion equations
Liao, Hong-Lin1; Lyu, Pin2; Vong, Seakweng2
2018
Source PublicationINTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
ISSN0020-7160
Volume95Issue:1Pages:144-158
Abstract

Second-order backward difference formula (BDF2) is considered for time approximation of Riesz space-fractional diffusion equations. The Riesz space derivative is approximated by the second-order fractional centre difference formula. To improve the computational efficiency, an alternating directional implicit scheme is also proposed for solving two-dimensional space-fractional diffusion problems. Numerical experiments are provided to verify our theory and to show the effectiveness of numerical algorithms.

KeywordFractional Diffusion Equation Riesz Space Derivative Fractional Centred Difference Bdf2 Formula Discrete Energy Method
DOI10.1080/00207160.2017.1366461
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000428749300009
PublisherTAYLOR & FRANCIS LTD
The Source to ArticleWOS
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被引频次[WOS]:9   [WOS记录]     [WOS相关记录]
Document TypeJournal article
专题DEPARTMENT OF MATHEMATICS
Corresponding AuthorLyu, Pin
Affiliation1.Mathematical Teaching and Research Center, PLA Army Engineering University, Nanjing, China
2.Department of Mathematics, University of Macau, Macau, China
Corresponding Author AffilicationUniversity of Macau
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Liao, Hong-Lin,Lyu, Pin,Vong, Seakweng. Second-order BDF time approximation for Riesz space-fractional diffusion equations[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2018,95(1):144-158.
APA Liao, Hong-Lin,Lyu, Pin,&Vong, Seakweng.(2018).Second-order BDF time approximation for Riesz space-fractional diffusion equations.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,95(1),144-158.
MLA Liao, Hong-Lin,et al."Second-order BDF time approximation for Riesz space-fractional diffusion equations".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 95.1(2018):144-158.
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